期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 357, 期 1, 页码 142-153出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.03.069
关键词
Generalized solutions to partial differential equations; Functional analytic methods; Differential equations with discontinuous coefficients; Colombeau generalized functions; Nonlinear theories of generalized functions
资金
- Ministry of Science of Serbia [144016]
- Austrian Science Fund (FWF) START [Y237]
- Austrian Science Fund (FWF) [Y237] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [Y 237] Funding Source: researchfish
We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing partial differential equation is of order four and involves discontinuous, and even distributional, coefficients and right-hand side. The general problem is solved by application of functional analytic techniques to obtain estimates for the solutions to regularized problems. Finally, we prove coherence properties and provide a regularity analysis of the generalized solution. (C) 2009 Elsevier Inc. All rights reserved.
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